Planimetrics - math word problems - page 137 of 185
Number of problems found: 3688
- Movement
Two cyclists (each on a different road) started from the crossing of two perpendicular roads. One runs at an average speed of 16 km/h, and the second 25 km/h. Determine the distance between them after 20 minutes of cycling. - Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points. - Tank Weight Pressure Ground
The tank's weight is 36 t, and the total contact area of the belts with the ground is 4 square meters. What pressure does the tank cause on a horizontal surface? - Cooker wire resistivity
The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made. - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Steering wheel force
The steering wheel has a diameter of 40 cm. It is acted upon by a pair of forces with a torque of 27 Newton-meters. How much force does it exert on each side of the steering wheel? - Chair Pressure Floor Area
The weight of the pupil and the chair is 52 kg. The area of the contact surfaces of the chair with the floor is 12 square centimeters. What pressure does the chair put on the floor? - Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch. - Tarzan
Tarzan, weighing m = 90 kg, tries to cross the river by swinging with a vine hanging from a tree leaning over the river. Liana has a length of l = 12 m. The speed of the Tarzan in the lowest swing position is v = 8 m/s. Tarzan doesn't know that the liana - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Press force calculation
The oil pressure in the press is 20 MPa and has area S = 15 dm². Calculate the amount of force that lifts the piston. - Exam average
The average of marks that have on the certificates students of 8A class in mathematics is exactly 2.45. If we did not add 1 and 3 of students Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class - Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of their car's dipped-beam lights, Peter stopped the car 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the wall d - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start? - Triangles - count
Find out how many triangles you create from lines 7 dm, 5 dm, 10 dm, 12 dm, and 15 dm long. - Car kinetic energy
Determine the kinetic energy of a car with a mass of 800 kg if it travels at a speed: a) 10 m/s b) 20 m/s - Equation - inverse
Solve for x: 7: x = 14:1000 - Motorist drive
At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s? The magnitude of the opposite acceleration during braking was 6.5 m/s2, and the car ran to a stopped track 35 m. - On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
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